Those are not "powered" speakers, so, like Enko says, you need some sort of A/V amp/receiver to drive them. And, of course you'll need to run wires to all the speakers.

For the best effect you need to have the speakers centered along the direct perpendicular axis of the TV, and you should be sitting along that axis as well. In your picture, that would be a line going from the TV, through the coffee table and in between the two couches. (from the TV to the lower right corner.)
Unless you can convince people to seriously re-arrange the room, you may as well just get a basic 2.1 system.

This is all assuming you have the proper Computer to do it but… you would gain 5.1 sound for your games, DVD movies, Blue ray~ if you have it on your system, DVR for your shows ~that is easly converted to MP4 or other mobile formats, HULU and Netflex use it, and other internet programs

Again there are multiple more options available to you. To get the 360 to work you would need an adaptor and using an adaptor I am not 100% sure you would get true 5.1 sound. (many setup guides you can google)